Question

Determine which consecutive integers do not have real zeros between them. x^3+4x^2+3x-1
a. (-3,-2)
b. (-2,-1)
c. (-1,0)
d. (0,1)

Answer 1

you might want to find the real zeros, otherwise theres no good method to approach this.

Answer 2

IF f(a) and f(b) have different signs, there has to be a zero between them; but it doesnt work the other way around

Answer 3

i spose if theres only one right choice, then 3 of them will produce opposite signs leaving the third one by elimination